10(x+3)-(9x-4)=-x-5+3

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Solution for 10(x+3)-(9x-4)=-x-5+3 equation:


Simplifying
10(x + 3) + -1(9x + -4) = -1x + -5 + 3

Reorder the terms:
10(3 + x) + -1(9x + -4) = -1x + -5 + 3
(3 * 10 + x * 10) + -1(9x + -4) = -1x + -5 + 3
(30 + 10x) + -1(9x + -4) = -1x + -5 + 3

Reorder the terms:
30 + 10x + -1(-4 + 9x) = -1x + -5 + 3
30 + 10x + (-4 * -1 + 9x * -1) = -1x + -5 + 3
30 + 10x + (4 + -9x) = -1x + -5 + 3

Reorder the terms:
30 + 4 + 10x + -9x = -1x + -5 + 3

Combine like terms: 30 + 4 = 34
34 + 10x + -9x = -1x + -5 + 3

Combine like terms: 10x + -9x = 1x
34 + 1x = -1x + -5 + 3

Reorder the terms:
34 + 1x = -5 + 3 + -1x

Combine like terms: -5 + 3 = -2
34 + 1x = -2 + -1x

Solving
34 + 1x = -2 + -1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'x' to each side of the equation.
34 + 1x + x = -2 + -1x + x

Combine like terms: 1x + x = 2x
34 + 2x = -2 + -1x + x

Combine like terms: -1x + x = 0
34 + 2x = -2 + 0
34 + 2x = -2

Add '-34' to each side of the equation.
34 + -34 + 2x = -2 + -34

Combine like terms: 34 + -34 = 0
0 + 2x = -2 + -34
2x = -2 + -34

Combine like terms: -2 + -34 = -36
2x = -36

Divide each side by '2'.
x = -18

Simplifying
x = -18

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